5674893475680 has 2160 divisors, whose sum is σ = 24627089318832. Its totient is φ = 1222412083200.

The previous prime is 5674893475673. The next prime is 5674893475697. The reversal of 5674893475680 is 865743984765.

5674893475680 is a `hidden beast` number, since 5 + 6 + 7 + 4 + 8 + 93 + 475 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5674893475599 and 5674893475608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 17144693115 + ... + 17144693445.

Almost surely, 2^{5674893475680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5674893475680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12313544659416).

5674893475680 is an abundant number, since it is smaller than the sum of its proper divisors (18952195843152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5674893475680 is a wasteful number, since it uses less digits than its factorization.

5674893475680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 5674893475680 in words is "five trillion, six hundred seventy-four billion, eight hundred ninety-three million, four hundred seventy-five thousand, six hundred eighty".